13) (a) [12 points] Four identical 2.0 ? resistors are combined as shown below.

Question

13) (a) [12 points] Four identical 2.0 ? resistors are combined as shown below.

What is the equivalent resistance for this combination?

(b) [12 points] What is the equivalent capacitance of the four identical 2.0 ?F capacitors combined as shown below?

(c) [16 points] If a 60 Hz alternating voltage with a maximum voltage of 170 V is applied to the circuit in part (a), what is the rms current through the circuit and what is the average power dissipated by it? If the alternating voltage source is now applied to the capacitor network in part (b), what is the rms current through the circuit and what is the average power dissipated by it?

Explanation / Answer

for resistors, parallel : Rnet = R1 R2 / [R1+ R2 ] series Rnet = R! + R2 for capacitors : parallel : Cnet = C1 + c2 series: Cnet = C1 C2 / [C1 + C2 ] c. Vmax = 1.414 Vrms Irms -= Vrms / Z average power dissipiated = Irms Vrms

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